Worker Cooperatives and Other “Cooperatives”

When is a “Coop” not really a cooperative? The short answer is whenever the actual activity of the “cooperative” is not carried out by the members but by employees. The problem is, of course, not in cooperation per se but in the hiring, employing, renting, or leasing of people to carry out the supposedly “cooperative” activities of the “cooperative.”

Where do Adjunctions come from?

Category theory has foundational importance because it provides conceptual lenses to characterize what is important and universal in mathematics—with adjunction seeming to be the primary lens. Our topic is a theory showing “where adjoints come from”.

Born Again! The Born Rule as a Feature of Superposition

Where does the Born Rule come from? We ask: “What is the simplest extension of probability theory where the Born rule appears”? This is answered by introducing “superposition events” in addition to the usual discrete events.

Fallacies about corporations

This article comments on Isabelle Ferreras’s “Democratizing the Corporation.” The focus is on the conceptual framing, which arguably contains a number of problems that are quite common on the left and are thus doubly deserving of commentary and explanation.

Tocqueville and Employee Ownership

There seems to be two rather different philosophies of aid to development and poverty relief. (1) The progressive/social-democratic approach is for the government or aid agencies to do more and more good things for people. (2) The classical-liberal approach is to change the underlying conditions so that people are empowered to do good things for themselves. In this paper, we analyze Alexis de Tocqueville’s approach to these questions in his First Memoir and his (unfinished) Second Memoir on Pauperism.

Opening the gates to Plato’s Heaven

The recipe to “open the gates to Plato’s Heaven” is by minimizing
the role of rivalrous substance and maximizing the role of non-rivalrous form. This creates a whole
series of different processes, positive feedback processes, vicious or virtuous circles, cumulative
circular causality, and increasing returns phenomena, which are analysed in this paper.

The heteromorphic approach to adjunctions: theory and history

In this paper, the history and theory of adjoint functors is investigated. Where do adjoint functors come from mathematically, and how did the concept develop historically?

A new logical measure for quantum information

Logical entropy is compared and contrasted with the usual notion of Shannon entropy. Then a semi-algorithmic procedure (from the mathematical folklore) is used to translate the notion of logical entropy at the set level to the corresponding notion of quantum logical entropy at the (Hilbert) vector space level.

A Fundamental Conundrum in Human Affairs

Across the whole spectrum of human endeavors, there are helping relationships wherein some helpers (e.g., doctors, teachers, social workers, advisors, managers, or organizers) try to help their counterparts (e.g., patients, students, clients, workers, and so forth) to help themselves. But there is a fundamental “helping self-help conundrum” in the very idea of helpers giving external assistance to others to become more autonomous, i.e., to become independent of external assistance.

How to understand quantum mechanics

This paper tries to elucidate the paradoxical aspects of quantum mechanics (QM) by using a simplified pedagogical model of QM based on the support sets of the state vectors, by assuming an ontology of superposition-as-objective indefiniteness, and by not giving any ontological interpretation to the computational device of the wave function.